Summary
We show that the monodromy of the family of curves (Riemann surfaces) acts as the full symmetric group on the Weierstrass points of a general curve. The proof uses a degeneration to certain reducible curves, and the theory of limit series developed in our (1986, 1987a, b). Some of the monodromy is actually constructed by fixing a (reducible) curve and varying its “canonical” series.
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Both authors are grateful to the National Science Foundation for partial support during the preparation of this work
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Eisenbud, D., Harris, J. The monodromy of Weierstrass points. Invent Math 90, 333–341 (1987). https://doi.org/10.1007/BF01388708
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DOI: https://doi.org/10.1007/BF01388708